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290880 = 26325101
BaseRepresentation
bin1000111000001000000
3112210000100
41013001000
533302010
610122400
72321022
oct1070100
9483010
10290880
111895a7
12120400
13a2525
1478012
155b2c0
hex47040

290880 has 84 divisors (see below), whose sum is σ = 1010412. Its totient is φ = 76800.

The previous prime is 290879. The next prime is 290897. The reversal of 290880 is 88092.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 82944 = 456^2 + 288^2 .

It is a super-2 number, since 2×2908802 = 169222348800, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2830 + ... + 2930.

2290880 is an apocalyptic number.

290880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505206).

290880 is an abundant number, since it is smaller than the sum of its proper divisors (719532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

290880 is a wasteful number, since it uses less digits than its factorization.

290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 290880 is about 539.3329213019. The cubic root of 290880 is about 66.2579437490.

The spelling of 290880 in words is "two hundred ninety thousand, eight hundred eighty".